{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ORH3CACHQPSU4Y6FPRH676CQOI","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e6e980c953f9f66ffdb9013de800177a7a61132e2f3789aa39f312cf61bd14e9","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-08T01:26:26Z","title_canon_sha256":"582450fc8a8154c239899d58659d45aca0fc85fe88c8a24decf048e169fd142b"},"schema_version":"1.0","source":{"id":"1708.02344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02344","created_at":"2026-05-18T00:38:24Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02344v1","created_at":"2026-05-18T00:38:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02344","created_at":"2026-05-18T00:38:24Z"},{"alias_kind":"pith_short_12","alias_value":"ORH3CACHQPSU","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"ORH3CACHQPSU4Y6F","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"ORH3CACH","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:9939b6df80fdeca5540b59dddd0d50d980cfcf88edbfe6674df75225648ecf01","target":"graph","created_at":"2026-05-18T00:38:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We construct a dynamical system for a reaction diffusion system due to Murray, which relies on the use of the Thomas system nonlinearities and describes the formation of animal coat patterns. First, we prove existence and uniqueness of global positive strong solutions to the system by using semigroup methods. Second, we show that the solutions are continuously dependent on initial values. Third, we show that the dynamical system enjoys exponential attractors whose fractal dimensions can be estimated. Finally, we give a numerical example.","authors_text":"Ton Viet Ta","cross_cats":["math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-08T01:26:26Z","title":"Dynamical system for animal coat pattern model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02344","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1265013153a6baf4e6d9961dba4d5ff2206897d86d6a1189a39e89b89637482a","target":"record","created_at":"2026-05-18T00:38:24Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e6e980c953f9f66ffdb9013de800177a7a61132e2f3789aa39f312cf61bd14e9","cross_cats_sorted":["math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-08T01:26:26Z","title_canon_sha256":"582450fc8a8154c239899d58659d45aca0fc85fe88c8a24decf048e169fd142b"},"schema_version":"1.0","source":{"id":"1708.02344","kind":"arxiv","version":1}},"canonical_sha256":"744fb1004783e54e63c57c4feff85072371d16ba0782718d4d0c45022878cedd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"744fb1004783e54e63c57c4feff85072371d16ba0782718d4d0c45022878cedd","first_computed_at":"2026-05-18T00:38:24.697933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:24.697933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pCccjyJk4cb4yvcLMYPxqqGukatBGkj1u0cM8EYccBzzhIBC3m1huH13KJGsUITuvhYLSNAqEv2fTblQ1M8ZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:24.698656Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1265013153a6baf4e6d9961dba4d5ff2206897d86d6a1189a39e89b89637482a","sha256:9939b6df80fdeca5540b59dddd0d50d980cfcf88edbfe6674df75225648ecf01"],"state_sha256":"2799894df38929587698cc4f5b702e008be749ae105fb647c7d3bb13ee3b82d8"}